TSTP Solution File: ALG417-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG417-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:50 EDT 2022
% Result : Unsatisfiable 4.29s 4.63s
% Output : Refutation 4.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG417-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.33 % CPULimit : 300
% 0.20/0.33 % DateTime : Wed Jun 8 07:44:11 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.82/1.20 *** allocated 10000 integers for termspace/termends
% 0.82/1.20 *** allocated 10000 integers for clauses
% 0.82/1.20 *** allocated 10000 integers for justifications
% 0.82/1.20 Bliksem 1.12
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Automatic Strategy Selection
% 0.82/1.20
% 0.82/1.20 Clauses:
% 0.82/1.20 [
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.82/1.20 X ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.82/1.20 X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.82/1.20 , Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.82/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.20 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.82/1.20 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.20 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.20 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.20 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.82/1.20 Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.82/1.20 , X ) ) ), =( Y, Z ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.82/1.20 , X ) ) ), =( Y, Z ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.20 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.20 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.82/1.20 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.82/1.20 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.82/1.20 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.82/1.20 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.82/1.20 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.82/1.20 , X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.82/1.20 , X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.82/1.20 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.82/1.20 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.82/1.20 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.82/1.20 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.82/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.82/1.20 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.82/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.82/1.20 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.82/1.20 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.82/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.82/1.20 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.82/1.20 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.82/1.20 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.82/1.20 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.82/1.20 Y, X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.82/1.20 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.82/1.20 Y, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.82/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.82/1.20 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.82/1.20 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.82/1.20 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.82/1.20 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.82/1.20 T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.82/1.20 X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.82/1.20 T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.20 X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.20 T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.20 X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 Y, X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.20 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.20 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.82/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.20 X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.82/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.20 X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.82/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.20 X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.82/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.20 X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 Y, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.82/1.20 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.82/1.20 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.82/1.20 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.82/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.82/1.20 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.82/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.82/1.20 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.82/1.20 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.20 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.82/1.20 X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.82/1.20 , X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.82/1.20 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.82/1.20 , T, X ), X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.82/1.20 X ) ) ), =( Z, T ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.82/1.20 X ) ) ), =( Z, T ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.82/1.20 X ) ) ), =( Y, T ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.82/1.20 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.82/1.20 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.82/1.20 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.82/1.20 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.82/1.20 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.20 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.82/1.20 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.82/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.82/1.20 , T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.82/1.20 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.82/1.20 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.82/1.20 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.82/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.82/1.20 , X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.82/1.20 , X ) ) ],
% 0.82/1.20 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.82/1.20 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.82/1.20 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.82/1.20 , Y, X ), X ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.20 , Z, X ), X ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.20 , Z, X ), X ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.82/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.82/1.20 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.82/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.20 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.20 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.82/1.20 ), Y ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.82/1.20 ), X ), Y ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.82/1.20 , Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.82/1.20 , Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.82/1.20 , T, X ), X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.82/1.20 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.82/1.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.82/1.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.20 , T, X ) ) ), =( Z, T ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.20 , T, X ) ) ), =( Y, Z ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.20 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 Y, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.20 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.82/1.20 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.82/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.82/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.82/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.82/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.82/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.82/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.82/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.20 , U, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.82/1.20 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.82/1.20 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.82/1.20 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.82/1.20 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.82/1.20 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.82/1.20 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.82/1.20 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.20 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.20 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.20 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.82/1.20 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.82/1.20 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.20 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 Y, T, X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.82/1.20 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.82/1.20 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.82/1.20 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.82/1.20 ), Y ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.82/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.82/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.20 ), Y ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.20 ), Y ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.20 ), Y ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.82/1.20 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.82/1.20 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.82/1.20 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.82/1.20 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.82/1.20 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.82/1.20 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.82/1.20 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.82/1.20 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.82/1.20 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.82/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.82/1.20 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.82/1.20 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.82/1.20 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.20 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.82/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.82/1.20 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.82/1.20 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.20 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.82/1.20 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.82/1.20 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.82/1.20 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.82/1.20 , X ), W, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.82/1.20 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.82/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.82/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.82/1.20 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.82/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.82/1.20 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.82/1.20 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.82/1.20 , T, X ), X ), T, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.82/1.20 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.82/1.20 Y, Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.82/1.20 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.82/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.82/1.20 , X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.82/1.20 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.82/1.20 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.82/1.20 Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.20 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.20 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.82/1.20 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.82/1.20 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.20 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.20 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.82/1.20 , X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.82/1.20 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.82/1.20 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.82/1.20 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.82/1.20 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.82/1.20 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.82/1.20 X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.20 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.20 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.20 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.82/1.20 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.82/1.20 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.82/1.20 Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.82/1.20 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.82/1.20 ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.82/1.20 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.82/1.20 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.82/1.20 X ), Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.82/1.20 [ ~( =( 'v_s____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.82/1.20 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.82/1.20 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.82/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.82/1.20 X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.20 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.82/1.20 Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.82/1.20 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.82/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.20 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.20 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.82/1.20 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.82/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.82/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.82/1.20 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.82/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.82/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.82/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.82/1.20 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.20 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.20 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.82/1.20 , X ), X ), Y ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 0.82/1.20 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.20 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.82/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.20 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.86/1.20 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.86/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.20 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.20 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.86/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.86/1.20 , X ) ) ],
% 0.86/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.86/1.20 , X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.86/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.86/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.86/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.86/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.86/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.20 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.20 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.20 'tc_Complex_Ocomplex' ) ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.20 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.20 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.86/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 , X ) ],
% 0.86/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.20 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ],
% 0.86/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.20 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.86/1.20 ) ],
% 0.86/1.20 [ =( 'v_s____', 'c_Polynomial_OpCons'( 'v_k____',
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.86/1.20 ) ), 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.86/1.20 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.20 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.86/1.20 , X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.86/1.20 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.20 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.20 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.20 ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.20 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.20 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.86/1.20 ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.20 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.20 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.20 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.86/1.20 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.86/1.20 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ), =( Y, Z ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.20 ) ), =( Y, Z ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.20 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.20 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.86/1.20 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.20 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.20 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.86/1.20 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.86/1.20 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.20 ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.20 ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.20 ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.20 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.20 ), X ) ) ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.20 ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.20 ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.20 ],
% 0.86/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.20 ],
% 0.86/1.20 [ =( 'v_s____', 'c_Polynomial_OpCons'( 'v_k____',
% 0.86/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.86/1.20 ) ), 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.20 [ ~( =( 'v_s____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.20 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.86/1.20 [ =( 'v_k____', 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.86/1.20 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.86/1.20 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.86/1.20 ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.86/1.20 ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.20 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.86/1.20 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.86/1.20 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.86/1.20 ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.86/1.20 ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.86/1.20 ],
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.20 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.86/1.20 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.86/1.20 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.86/1.20 ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.86/1.20 ],
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.86/1.20 ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.86/1.20 ],
% 0.86/1.20 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.86/1.20 ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.20 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.86/1.20 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.86/1.20 X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.86/1.20 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.86/1.20 ,
% 0.86/1.20 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.86/1.20 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.86/1.20 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.86/1.20 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.86/1.20 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.86/1.20 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.86/1.20 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.86/1.20 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.20 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.20 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.20 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.20 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.20 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.20 ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.20 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.20 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.20 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.86/1.20 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.86/1.20 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.86/1.20 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.20 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.86/1.20 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.86/1.20 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.20 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.20 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.86/1.20 X ) ) ]
% 0.86/1.20 ] .
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 percentage equality = 0.403226, percentage horn = 0.899800
% 0.86/1.20 This is a problem with some equality
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 Options Used:
% 0.86/1.20
% 0.86/1.20 useres = 1
% 0.86/1.20 useparamod = 1
% 0.86/1.20 useeqrefl = 1
% 0.86/1.20 useeqfact = 1
% 0.86/1.20 usefactor = 1
% 0.86/1.20 usesimpsplitting = 0
% 0.86/1.20 usesimpdemod = 5
% 0.86/1.56 usesimpres = 3
% 0.86/1.56
% 0.86/1.56 resimpinuse = 1000
% 0.86/1.56 resimpclauses = 20000
% 0.86/1.56 substype = eqrewr
% 0.86/1.56 backwardsubs = 1
% 0.86/1.56 selectoldest = 5
% 0.86/1.56
% 0.86/1.56 litorderings [0] = split
% 0.86/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.56
% 0.86/1.56 termordering = kbo
% 0.86/1.56
% 0.86/1.56 litapriori = 0
% 0.86/1.56 termapriori = 1
% 0.86/1.56 litaposteriori = 0
% 0.86/1.56 termaposteriori = 0
% 0.86/1.56 demodaposteriori = 0
% 0.86/1.56 ordereqreflfact = 0
% 0.86/1.56
% 0.86/1.56 litselect = negord
% 0.86/1.56
% 0.86/1.56 maxweight = 15
% 0.86/1.56 maxdepth = 30000
% 0.86/1.56 maxlength = 115
% 0.86/1.56 maxnrvars = 195
% 0.86/1.56 excuselevel = 1
% 0.86/1.56 increasemaxweight = 1
% 0.86/1.56
% 0.86/1.56 maxselected = 10000000
% 0.86/1.56 maxnrclauses = 10000000
% 0.86/1.56
% 0.86/1.56 showgenerated = 0
% 0.86/1.56 showkept = 0
% 0.86/1.56 showselected = 0
% 0.86/1.56 showdeleted = 0
% 0.86/1.56 showresimp = 1
% 0.86/1.56 showstatus = 2000
% 0.86/1.56
% 0.86/1.56 prologoutput = 1
% 0.86/1.56 nrgoals = 5000000
% 0.86/1.56 totalproof = 1
% 0.86/1.56
% 0.86/1.56 Symbols occurring in the translation:
% 0.86/1.56
% 0.86/1.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.56 . [1, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.86/1.56 ! [4, 1] (w:0, o:47, a:1, s:1, b:0),
% 0.86/1.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.56 'class_Ring__and__Field_Ocomm__semiring__1' [40, 1] (w:1, o:55, a:1
% 0.86/1.56 , s:1, b:0),
% 0.86/1.56 'c_HOL_Oone__class_Oone' [41, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.86/1.56 'c_Ring__and__Field_Odvd__class_Odvd' [43, 3] (w:1, o:143, a:1, s:1
% 0.86/1.56 , b:0),
% 0.86/1.56 'class_Divides_Osemiring__div' [44, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.86/1.56 'c_Divides_Odiv__class_Odiv' [47, 3] (w:1, o:144, a:1, s:1, b:0),
% 0.86/1.56 'c_HOL_Otimes__class_Otimes' [50, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.86/1.56 'class_OrderedGroup_Oab__semigroup__idem__mult' [51, 1] (w:1, o:59
% 0.86/1.56 , a:1, s:1, b:0),
% 0.86/1.56 'class_Ring__and__Field_Oring' [52, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.86/1.56 'c_HOL_Ouminus__class_Ouminus' [54, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.86/1.56 'class_RealVector_Oreal__normed__vector' [55, 1] (w:1, o:61, a:1, s:1
% 0.86/1.56 , b:0),
% 0.86/1.56 'c_HOL_Osgn__class_Osgn' [56, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.86/1.56 'class_Ring__and__Field_Ofield' [57, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.86/1.56 'class_Ring__and__Field_Odivision__by__zero' [58, 1] (w:1, o:64, a:1
% 0.86/1.56 , s:1, b:0),
% 0.86/1.56 'c_HOL_Oinverse__class_Odivide' [59, 3] (w:1, o:146, a:1, s:1, b:0),
% 0.86/1.56
% 0.86/1.56 'class_Ring__and__Field_Oordered__idom' [60, 1] (w:1, o:66, a:1, s:1
% 0.86/1.56 , b:0),
% 0.86/1.56 'c_HOL_Oabs__class_Oabs' [61, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.86/1.56 'class_Ring__and__Field_Oidom' [62, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.86/1.56 'c_HOL_Ozero__class_Ozero' [63, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.86/1.56 'class_RealVector_Oreal__vector' [65, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.86/1.56
% 0.86/1.56 'c_HOL_Ominus__class_Ominus' [66, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.86/1.56 'c_RealVector_OscaleR__class_OscaleR' [67, 3] (w:1, o:148, a:1, s:1
% 0.86/1.56 , b:0),
% 0.86/1.56 'c_Power_Opower__class_Opower' [70, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.86/1.56 'class_Lattices_Oboolean__algebra' [71, 1] (w:1, o:70, a:1, s:1, b:0)
% 0.86/1.56 ,
% 0.86/1.56 'class_OrderedGroup_Ogroup__add' [72, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.86/1.56
% 0.86/1.56 'c_HOL_Oplus__class_Oplus' [77, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.86/1.56 'c_Divides_Odiv__class_Omod' [78, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.86/1.56 'class_HOL_Ozero' [79, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.86/1.56 'c_Polynomial_OpCons' [81, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.86/1.56 'class_RealVector_Oreal__normed__field' [83, 1] (w:1, o:73, a:1, s:1
% 0.86/1.56 , b:0),
% 0.86/1.56 'c_HOL_Oinverse__class_Oinverse' [84, 2] (w:1, o:138, a:1, s:1, b:0)
% 0.86/1.56 ,
% 0.86/1.56 'class_OrderedGroup_Olordered__ab__group__add' [86, 1] (w:1, o:74, a:
% 0.86/1.56 1, s:1, b:0),
% 0.86/1.56 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [87, 2] (w:1
% 0.86/1.56 , o:139, a:1, s:1, b:0),
% 0.86/1.56 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [88, 2] (w:1
% 0.86/1.56 , o:140, a:1, s:1, b:0),
% 0.86/1.56 'class_Int_Onumber__ring' [89, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.86/1.56 'class_Ring__and__Field_Oordered__ring__strict' [92, 1] (w:1, o:76
% 0.86/1.56 , a:1, s:1, b:0),
% 0.86/1.56 'class_Ring__and__Field_Odivision__ring' [93, 1] (w:1, o:77, a:1, s:1
% 0.86/1.56 , b:0),
% 0.86/1.56 'class_OrderedGroup_Ocomm__monoid__mult' [94, 1] (w:1, o:78, a:1, s:1
% 0.86/1.56 , b:0),
% 0.86/1.56 'class_Ring__and__Field_Odvd' [95, 1] (w:1, o:79, a:1, s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Ocomm__ring' [96, 1] (w:1, o:52, a:1, s:1, b:
% 4.29/4.63 0),
% 4.29/4.63 'class_Divides_Oring__div' [100, 1] (w:1, o:57, a:1, s:1, b:0),
% 4.29/4.63 'class_OrderedGroup_Oab__semigroup__mult' [101, 1] (w:1, o:80, a:1
% 4.29/4.63 , s:1, b:0),
% 4.29/4.63 'class_RealVector_Oreal__normed__algebra' [102, 1] (w:1, o:81, a:1
% 4.29/4.63 , s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Ocomm__semiring' [106, 1] (w:1, o:63, a:1, s:
% 4.29/4.63 1, b:0),
% 4.29/4.63 'class_OrderedGroup_Opordered__ab__group__add__abs' [107, 1] (w:1, o:
% 4.29/4.63 83, a:1, s:1, b:0),
% 4.29/4.63 'class_OrderedGroup_Oab__group__add' [109, 1] (w:1, o:84, a:1, s:1
% 4.29/4.63 , b:0),
% 4.29/4.63 'class_Ring__and__Field_Ocomm__ring__1' [110, 1] (w:1, o:53, a:1, s:1
% 4.29/4.63 , b:0),
% 4.29/4.63 'class_OrderedGroup_Ocancel__ab__semigroup__add' [111, 1] (w:1, o:85
% 4.29/4.63 , a:1, s:1, b:0),
% 4.29/4.63 'class_OrderedGroup_Ocancel__semigroup__add' [112, 1] (w:1, o:86, a:1
% 4.29/4.63 , s:1, b:0),
% 4.29/4.63 'class_SEQ_Obanach' [114, 1] (w:1, o:100, a:1, s:1, b:0),
% 4.29/4.63 'c_Transcendental_Oexp' [115, 2] (w:1, o:141, a:1, s:1, b:0),
% 4.29/4.63 'class_OrderedGroup_Omonoid__mult' [116, 1] (w:1, o:102, a:1, s:1, b:
% 4.29/4.63 0),
% 4.29/4.63 'class_OrderedGroup_Olordered__ab__group__add__abs' [117, 1] (w:1, o:
% 4.29/4.63 101, a:1, s:1, b:0),
% 4.29/4.63 'class_OrderedGroup_Ocomm__monoid__add' [118, 1] (w:1, o:103, a:1, s:
% 4.29/4.63 1, b:0),
% 4.29/4.63 'class_OrderedGroup_Oab__semigroup__add' [119, 1] (w:1, o:104, a:1
% 4.29/4.63 , s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Osemiring' [122, 1] (w:1, o:90, a:1, s:1, b:0
% 4.29/4.63 ),
% 4.29/4.63 'class_RealVector_Oreal__normed__algebra__1' [123, 1] (w:1, o:91, a:1
% 4.29/4.63 , s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Oordered__field' [124, 1] (w:1, o:92, a:1, s:
% 4.29/4.63 1, b:0),
% 4.29/4.63 'tc_Polynomial_Opoly' [125, 1] (w:1, o:105, a:1, s:1, b:0),
% 4.29/4.63 'class_RealVector_Oreal__algebra' [126, 1] (w:1, o:93, a:1, s:1, b:0)
% 4.29/4.63 ,
% 4.29/4.63 'class_RealVector_Oreal__field' [128, 1] (w:1, o:94, a:1, s:1, b:0),
% 4.29/4.63
% 4.29/4.63 'c_Complex_Ocnj' [129, 1] (w:1, o:106, a:1, s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Oring__1' [131, 1] (w:1, o:87, a:1, s:1, b:0)
% 4.29/4.63 ,
% 4.29/4.63 'v_s____' [132, 0] (w:1, o:41, a:1, s:1, b:0),
% 4.29/4.63 'tc_Complex_Ocomplex' [133, 0] (w:1, o:42, a:1, s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Osemiring__1' [134, 1] (w:1, o:95, a:1, s:1
% 4.29/4.63 , b:0),
% 4.29/4.63 'c_Int_Oiszero' [135, 2] (w:1, o:142, a:1, s:1, b:0),
% 4.29/4.63 'class_RealVector_Oreal__normed__div__algebra' [136, 1] (w:1, o:96
% 4.29/4.63 , a:1, s:1, b:0),
% 4.29/4.63 'c_Complex_Oii' [138, 0] (w:1, o:43, a:1, s:1, b:0),
% 4.29/4.63 'class_OrderedGroup_Oordered__ab__group__add' [139, 1] (w:1, o:82, a:
% 4.29/4.63 1, s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Osgn__if' [140, 1] (w:1, o:97, a:1, s:1, b:0)
% 4.29/4.63 ,
% 4.29/4.63 'class_Ring__and__Field_Oring__no__zero__divisors' [141, 1] (w:1, o:
% 4.29/4.63 88, a:1, s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Omult__zero' [142, 1] (w:1, o:98, a:1, s:1
% 4.29/4.63 , b:0),
% 4.29/4.63 'v_k____' [143, 0] (w:1, o:44, a:1, s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Ozero__neq__one' [144, 1] (w:1, o:99, a:1, s:
% 4.29/4.63 1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Oring__1__no__zero__divisors' [145, 1] (w:1
% 4.29/4.63 , o:89, a:1, s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Ono__zero__divisors' [146, 1] (w:1, o:65, a:1
% 4.29/4.63 , s:1, b:0),
% 4.29/4.63 'class_Power_Opower' [147, 1] (w:1, o:109, a:1, s:1, b:0),
% 4.29/4.63 'class_OrderedGroup_Omonoid__add' [148, 1] (w:1, o:107, a:1, s:1, b:0
% 4.29/4.63 ),
% 4.29/4.63 'class_OrderedGroup_Ocancel__comm__monoid__add' [150, 1] (w:1, o:108
% 4.29/4.63 , a:1, s:1, b:0),
% 4.29/4.63 'class_Ring__and__Field_Ocomm__semiring__0' [151, 1] (w:1, o:54, a:1
% 4.29/4.63 , s:1, b:0),
% 4.29/4.63 'tc_RealDef_Oreal' [152, 0] (w:1, o:46, a:1, s:1, b:0).
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Starting Search:
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 6681
% 4.29/4.63 Kept: 2239
% 4.29/4.63 Inuse: 160
% 4.29/4.63 Deleted: 6
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 14998
% 4.29/4.63 Kept: 4243
% 4.29/4.63 Inuse: 206
% 4.29/4.63 Deleted: 6
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 23132
% 4.29/4.63 Kept: 6245
% 4.29/4.63 Inuse: 262
% 4.29/4.63 Deleted: 6
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 31983
% 4.29/4.63 Kept: 8317
% 4.29/4.63 Inuse: 339
% 4.29/4.63 Deleted: 7
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 49195
% 4.29/4.63 Kept: 10666
% 4.29/4.63 Inuse: 384
% 4.29/4.63 Deleted: 7
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 69448
% 4.29/4.63 Kept: 13345
% 4.29/4.63 Inuse: 428
% 4.29/4.63 Deleted: 8
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 89871
% 4.29/4.63 Kept: 15379
% 4.29/4.63 Inuse: 480
% 4.29/4.63 Deleted: 11
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 107101
% 4.29/4.63 Kept: 17406
% 4.29/4.63 Inuse: 529
% 4.29/4.63 Deleted: 12
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 130381
% 4.29/4.63 Kept: 19903
% 4.29/4.63 Inuse: 548
% 4.29/4.63 Deleted: 13
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying clauses:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 140906
% 4.29/4.63 Kept: 22291
% 4.29/4.63 Inuse: 576
% 4.29/4.63 Deleted: 124
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 154738
% 4.29/4.63 Kept: 24732
% 4.29/4.63 Inuse: 581
% 4.29/4.63 Deleted: 124
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 168634
% 4.29/4.63 Kept: 26807
% 4.29/4.63 Inuse: 668
% 4.29/4.63 Deleted: 124
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 189138
% 4.29/4.63 Kept: 29445
% 4.29/4.63 Inuse: 738
% 4.29/4.63 Deleted: 124
% 4.29/4.63 Deletedinuse: 0
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 206239
% 4.29/4.63 Kept: 31767
% 4.29/4.63 Inuse: 803
% 4.29/4.63 Deleted: 128
% 4.29/4.63 Deletedinuse: 4
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 228416
% 4.29/4.63 Kept: 33882
% 4.29/4.63 Inuse: 868
% 4.29/4.63 Deleted: 128
% 4.29/4.63 Deletedinuse: 4
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Intermediate Status:
% 4.29/4.63 Generated: 243343
% 4.29/4.63 Kept: 35882
% 4.29/4.63 Inuse: 902
% 4.29/4.63 Deleted: 130
% 4.29/4.63 Deletedinuse: 6
% 4.29/4.63
% 4.29/4.63 Resimplifying inuse:
% 4.29/4.63 Done
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 Bliksems!, er is een bewijs:
% 4.29/4.63 % SZS status Unsatisfiable
% 4.29/4.63 % SZS output start Refutation
% 4.29/4.63
% 4.29/4.63 clause( 192, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.63 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.63 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 4.29/4.63 .
% 4.29/4.63 clause( 252, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.63 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ) ] )
% 4.29/4.63 .
% 4.29/4.63 clause( 301, [ =( 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.63 ) ), 'tc_Complex_Ocomplex' ), 'v_s____' ) ] )
% 4.29/4.63 .
% 4.29/4.63 clause( 343, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 4.29/4.63 'v_k____' ) ] )
% 4.29/4.63 .
% 4.29/4.63 clause( 437, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.63 .
% 4.29/4.63 clause( 37040, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.63 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ] )
% 4.29/4.63 .
% 4.29/4.63 clause( 37238, [] )
% 4.29/4.63 .
% 4.29/4.63
% 4.29/4.63
% 4.29/4.63 % SZS output end Refutation
% 4.29/4.63 found a proof!
% 4.29/4.63
% 4.29/4.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.29/4.63
% 4.29/4.63 initialclauses(
% 4.29/4.63 [ clause( 37240, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 4.29/4.63 X ) ] )
% 4.29/4.63 , clause( 37241, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 4.29/4.63 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 4.29/4.63 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 4.29/4.63 , clause( 37242, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 4.29/4.63 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 4.29/4.63 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 4.29/4.63 , clause( 37243, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 4.29/4.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.63 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 4.29/4.63 X ), X ) ) ] )
% 4.29/4.63 , clause( 37244, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 4.29/4.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.63 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 4.29/4.63 , Z, X ) ) ] )
% 4.29/4.63 , clause( 37245, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 4.29/4.63 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 4.29/4.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 4.29/4.63 )
% 4.29/4.63 , clause( 37246, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 4.29/4.63 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 4.29/4.63 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 4.29/4.63 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 4.29/4.63 , clause( 37247, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.63 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 4.29/4.63 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 4.29/4.63 , clause( 37248, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ] )
% 4.29/4.63 , clause( 37249, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ] )
% 4.29/4.63 , clause( 37250, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 4.29/4.63 , clause( 37251, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ] )
% 4.29/4.63 , clause( 37252, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 4.29/4.63 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 4.29/4.63 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 4.29/4.63 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 4.29/4.63 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 4.29/4.63 , clause( 37253, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 4.29/4.63 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 4.29/4.63 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 4.29/4.63 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 4.29/4.63 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 4.29/4.63 , clause( 37254, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.63 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 4.29/4.63 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.63 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 4.29/4.63 Z, T, X ), X ) ) ] )
% 4.29/4.63 , clause( 37255, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 4.29/4.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 4.29/4.63 , X ) ) ), =( Y, Z ) ] )
% 4.29/4.63 , clause( 37256, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 4.29/4.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 4.29/4.63 , X ) ) ), =( Y, Z ) ] )
% 4.29/4.63 , clause( 37257, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 4.29/4.63 , clause( 37258, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 4.29/4.63 , clause( 37259, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 4.29/4.63 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.63 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.63 , clause( 37260, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.63 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.63 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.63 , clause( 37261, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.63 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 4.29/4.63 , clause( 37262, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.63 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 4.29/4.63 , clause( 37263, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.63 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 4.29/4.63 , clause( 37264, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.63 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 4.29/4.63 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.63 , clause( 37265, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.63 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.63 X ) ) ] )
% 4.29/4.63 , clause( 37266, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.63 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 4.29/4.63 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ] )
% 4.29/4.63 , clause( 37267, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.63 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 4.29/4.63 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 4.29/4.63 , clause( 37268, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.63 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 4.29/4.63 , clause( 37269, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 4.29/4.63 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 4.29/4.63 , clause( 37270, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 4.29/4.63 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 4.29/4.63 , clause( 37271, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 4.29/4.63 , X ), Z, X ) ) ] )
% 4.29/4.63 , clause( 37272, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.63 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 4.29/4.63 , X ), Z, X ) ) ] )
% 4.29/4.63 , clause( 37273, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 4.29/4.63 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ] )
% 4.29/4.63 , clause( 37274, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 4.29/4.63 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ] )
% 4.29/4.63 , clause( 37275, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.63 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 4.29/4.63 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 4.29/4.63 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 4.29/4.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.63 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 4.29/4.63 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 4.29/4.63 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 4.29/4.63 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37276, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 4.29/4.64 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37277, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 4.29/4.64 , =( Y, 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 4.29/4.64 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37278, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37279, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 4.29/4.64 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37280, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 4.29/4.64 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37281, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 4.29/4.64 ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ] )
% 4.29/4.64 , clause( 37282, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 4.29/4.64 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 4.29/4.64 , clause( 37283, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 4.29/4.64 , clause( 37284, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 4.29/4.64 ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 4.29/4.64 Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37285, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 4.29/4.64 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 4.29/4.64 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37286, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37287, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37288, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 4.29/4.64 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ] )
% 4.29/4.64 , clause( 37289, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 4.29/4.64 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ] )
% 4.29/4.64 , clause( 37290, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37291, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ] )
% 4.29/4.64 , clause( 37292, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ] )
% 4.29/4.64 , clause( 37293, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 4.29/4.64 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 4.29/4.64 Y, X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37294, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 4.29/4.64 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 4.29/4.64 Y, X ), X ) ) ] )
% 4.29/4.64 , clause( 37295, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 4.29/4.64 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 4.29/4.64 , clause( 37296, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37297, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 4.29/4.64 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 4.29/4.64 X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37298, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 4.29/4.64 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 4.29/4.64 X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37299, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 4.29/4.64 T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37300, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.64 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 4.29/4.64 T, X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37301, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.64 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37302, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 4.29/4.64 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 4.29/4.64 , X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37303, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 4.29/4.64 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 4.29/4.64 , T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37304, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 4.29/4.64 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 4.29/4.64 , X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37305, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 4.29/4.64 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37306, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37307, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37308, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37309, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37310, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 4.29/4.64 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 4.29/4.64 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37311, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37312, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 4.29/4.64 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 4.29/4.64 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 4.29/4.64 ), X ) ) ] )
% 4.29/4.64 , clause( 37313, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 4.29/4.64 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37314, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 4.29/4.64 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 Y, X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37315, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37316, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37317, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37318, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 4.29/4.64 , clause( 37319, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37320, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 4.29/4.64 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 4.29/4.64 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37321, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 4.29/4.64 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 4.29/4.64 X ), X ) ) ] )
% 4.29/4.64 , clause( 37322, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 4.29/4.64 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 4.29/4.64 X ), X ) ) ] )
% 4.29/4.64 , clause( 37323, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 4.29/4.64 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 4.29/4.64 X ), X ) ) ] )
% 4.29/4.64 , clause( 37324, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 4.29/4.64 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 4.29/4.64 X ), X ) ) ] )
% 4.29/4.64 , clause( 37325, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Y, Y, X ) ) ] )
% 4.29/4.64 , clause( 37326, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37327, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 4.29/4.64 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37328, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 4.29/4.64 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37329, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 4.29/4.64 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37330, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37331, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37332, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.64 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 4.29/4.64 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 4.29/4.64 , clause( 37333, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 4.29/4.64 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37334, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 4.29/4.64 X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37335, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 4.29/4.64 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37336, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 4.29/4.64 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37337, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37338, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 4.29/4.64 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 4.29/4.64 , clause( 37339, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 4.29/4.64 , clause( 37340, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37341, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 4.29/4.64 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37342, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 4.29/4.64 X ), X ) ) ] )
% 4.29/4.64 , clause( 37343, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37344, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37345, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37346, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37347, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37348, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37349, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 4.29/4.64 , clause( 37350, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37351, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37352, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37353, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 4.29/4.64 , X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37354, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 4.29/4.64 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37355, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 4.29/4.64 , T, X ), X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37356, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37357, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 4.29/4.64 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 4.29/4.64 ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 4.29/4.64 , clause( 37358, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 4.29/4.64 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 4.29/4.64 , clause( 37359, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 4.29/4.64 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 4.29/4.64 , clause( 37360, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 4.29/4.64 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 Y, T, X ) ) ), =( Z, T ) ] )
% 4.29/4.64 , clause( 37361, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 4.29/4.64 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 T, Z, X ) ) ), =( Y, T ) ] )
% 4.29/4.64 , clause( 37362, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 4.29/4.64 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37363, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 4.29/4.64 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37364, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37365, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 4.29/4.64 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37366, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 4.29/4.64 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37367, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 4.29/4.64 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37368, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 4.29/4.64 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37369, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 4.29/4.64 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37370, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 4.29/4.64 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37371, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ] )
% 4.29/4.64 , clause( 37372, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 4.29/4.64 , T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37373, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 4.29/4.64 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 4.29/4.64 , clause( 37374, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 4.29/4.64 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37375, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 4.29/4.64 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37376, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37377, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37378, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37379, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 4.29/4.64 , clause( 37380, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 4.29/4.64 , clause( 37381, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 4.29/4.64 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37382, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37383, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 4.29/4.64 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 4.29/4.64 'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37384, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37385, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37386, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37387, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37388, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37389, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37390, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 4.29/4.64 , Y, X ), X ) ] )
% 4.29/4.64 , clause( 37391, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 4.29/4.64 , Z, X ), X ) ] )
% 4.29/4.64 , clause( 37392, [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 4.29/4.64 , Z, X ), X ) ] )
% 4.29/4.64 , clause( 37393, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 4.29/4.64 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 4.29/4.64 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 4.29/4.64 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37394, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 4.29/4.64 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 4.29/4.64 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37395, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 4.29/4.64 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37396, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 4.29/4.64 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37397, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 4.29/4.64 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37398, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 4.29/4.64 ), Y ) ] )
% 4.29/4.64 , clause( 37399, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 4.29/4.64 ), X ), Y ) ] )
% 4.29/4.64 , clause( 37400, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37401, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37402, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 4.29/4.64 , T, X ), X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37403, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 4.29/4.64 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37404, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 4.29/4.64 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37405, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 4.29/4.64 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37406, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 4.29/4.64 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37407, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 4.29/4.64 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37408, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 4.29/4.64 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37409, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 4.29/4.64 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37410, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 4.29/4.64 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37411, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 4.29/4.64 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37412, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 4.29/4.64 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 4.29/4.64 , clause( 37413, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 4.29/4.64 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37414, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 4.29/4.64 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37415, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37416, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37417, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 4.29/4.64 , T, X ) ) ), =( Z, T ) ] )
% 4.29/4.64 , clause( 37418, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 4.29/4.64 , T, X ) ) ), =( Y, Z ) ] )
% 4.29/4.64 , clause( 37419, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37420, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 4.29/4.64 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 Y, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37421, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 4.29/4.64 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 4.29/4.64 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ] )
% 4.29/4.64 , clause( 37422, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 4.29/4.64 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 4.29/4.64 , clause( 37423, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 4.29/4.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37424, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 4.29/4.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37425, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 4.29/4.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37426, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 4.29/4.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37427, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 4.29/4.64 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 4.29/4.64 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37428, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 4.29/4.64 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 4.29/4.64 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37429, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 4.29/4.64 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37430, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 4.29/4.64 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37431, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 4.29/4.64 , U, X ), X ) ) ] )
% 4.29/4.64 , clause( 37432, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 4.29/4.64 , clause( 37433, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 4.29/4.64 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37434, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 4.29/4.64 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 4.29/4.64 , clause( 37435, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 4.29/4.64 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37436, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 4.29/4.64 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 4.29/4.64 , clause( 37437, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37438, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 4.29/4.64 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37439, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37440, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37441, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 4.29/4.64 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37442, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 4.29/4.64 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37443, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 4.29/4.64 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 4.29/4.64 , clause( 37444, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.64 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37445, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 4.29/4.64 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37446, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 4.29/4.64 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 4.29/4.64 'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37447, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 4.29/4.64 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Y, T, X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37448, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 4.29/4.64 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37449, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 4.29/4.64 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37450, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 4.29/4.64 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37451, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37452, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ] )
% 4.29/4.64 , clause( 37453, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37454, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37455, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 4.29/4.64 ), Y ) ] )
% 4.29/4.64 , clause( 37456, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 4.29/4.64 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37457, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 4.29/4.64 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37458, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 4.29/4.64 ), Y ) ] )
% 4.29/4.64 , clause( 37459, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37460, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37461, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 4.29/4.64 ), Y ) ] )
% 4.29/4.64 , clause( 37462, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 4.29/4.64 ), Y ) ] )
% 4.29/4.64 , clause( 37463, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37464, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 4.29/4.64 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37465, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ] )
% 4.29/4.64 , clause( 37466, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 4.29/4.64 , clause( 37467, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 4.29/4.64 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37468, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 4.29/4.64 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37469, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 4.29/4.64 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37470, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 4.29/4.64 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37471, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 4.29/4.64 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37472, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 4.29/4.64 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37473, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 4.29/4.64 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37474, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 4.29/4.64 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 4.29/4.64 , clause( 37475, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 4.29/4.64 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37476, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37477, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37478, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 4.29/4.64 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 4.29/4.64 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37479, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 4.29/4.64 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 4.29/4.64 , clause( 37480, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 4.29/4.64 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37481, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 4.29/4.64 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 4.29/4.64 , clause( 37482, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 4.29/4.64 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37483, [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 4.29/4.64 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 4.29/4.64 , clause( 37484, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37485, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 4.29/4.64 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37486, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37487, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ] )
% 4.29/4.64 , clause( 37488, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 4.29/4.64 , clause( 37489, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 4.29/4.64 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 4.29/4.64 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 4.29/4.64 , clause( 37490, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 4.29/4.64 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 4.29/4.64 , clause( 37491, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 4.29/4.64 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 4.29/4.64 , X ), W, X ) ) ] )
% 4.29/4.64 , clause( 37492, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ] )
% 4.29/4.64 , clause( 37493, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ] )
% 4.29/4.64 , clause( 37494, [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ] )
% 4.29/4.64 , clause( 37495, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37496, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37497, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 4.29/4.64 , clause( 37498, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 4.29/4.64 Y, X ) ) ] )
% 4.29/4.64 , clause( 37499, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 4.29/4.64 Y, X ) ) ] )
% 4.29/4.64 , clause( 37500, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37501, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 4.29/4.64 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 4.29/4.64 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37502, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 4.29/4.64 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37503, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 4.29/4.64 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 4.29/4.64 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 4.29/4.64 , clause( 37504, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 4.29/4.64 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 4.29/4.64 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37505, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 4.29/4.64 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37506, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 4.29/4.64 , T, X ), X ), T, X ) ) ] )
% 4.29/4.64 , clause( 37507, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 4.29/4.64 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 4.29/4.64 Y, Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37508, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 4.29/4.64 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37509, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 4.29/4.64 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37510, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 4.29/4.64 , clause( 37511, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37512, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 4.29/4.64 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 4.29/4.64 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 4.29/4.64 Z, X ) ) ] )
% 4.29/4.64 , clause( 37513, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 4.29/4.64 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 4.29/4.64 , clause( 37514, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 4.29/4.64 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 4.29/4.64 , clause( 37515, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 4.29/4.64 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 4.29/4.64 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 4.29/4.64 , clause( 37516, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 4.29/4.64 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 4.29/4.64 =( Y, T ) ] )
% 4.29/4.64 , clause( 37517, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 4.29/4.64 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 4.29/4.64 =( Y, T ) ] )
% 4.29/4.64 , clause( 37518, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37519, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 4.29/4.64 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 4.29/4.64 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37520, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 4.29/4.64 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 4.29/4.64 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37521, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 4.29/4.64 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 4.29/4.64 X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37522, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 4.29/4.64 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37523, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 4.29/4.64 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37524, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 4.29/4.64 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37525, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37526, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37527, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 4.29/4.64 , clause( 37528, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37529, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 4.29/4.64 Z, X ) ) ] )
% 4.29/4.64 , clause( 37530, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 4.29/4.64 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37531, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 4.29/4.64 ), X ) ) ] )
% 4.29/4.64 , clause( 37532, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 4.29/4.64 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 4.29/4.64 , clause( 37533, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 4.29/4.64 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 4.29/4.64 X ), Z, X ) ) ] )
% 4.29/4.64 , clause( 37534, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 4.29/4.64 , clause( 37535, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 4.29/4.64 , clause( 37536, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 4.29/4.64 , clause( 37537, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 4.29/4.64 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 4.29/4.64 , clause( 37538, [ ~( =( 'v_s____', 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 4.29/4.64 , clause( 37539, [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ),
% 4.29/4.64 =( X, Y ) ] )
% 4.29/4.64 , clause( 37540, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 4.29/4.64 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 4.29/4.64 X ), X ) ) ] )
% 4.29/4.64 , clause( 37541, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37542, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 4.29/4.64 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 4.29/4.64 Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37543, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 4.29/4.64 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ] )
% 4.29/4.64 , clause( 37544, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37545, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 4.29/4.64 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 4.29/4.64 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 4.29/4.64 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37546, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 4.29/4.64 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 4.29/4.64 , clause( 37547, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 4.29/4.64 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 4.29/4.64 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 4.29/4.64 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37548, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 4.29/4.64 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37549, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 4.29/4.64 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37550, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 4.29/4.64 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37551, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 4.29/4.64 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37552, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 4.29/4.64 , X ), X ), Y ) ] )
% 4.29/4.64 , clause( 37553, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 4.29/4.64 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37554, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~(
% 4.29/4.64 'c_Int_Oiszero'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 4.29/4.64 , clause( 37555, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 4.29/4.64 , clause( 37556, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 4.29/4.64 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 4.29/4.64 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 4.29/4.64 , clause( 37557, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 4.29/4.64 , =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 4.29/4.64 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 4.29/4.64 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37558, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.64 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 4.29/4.64 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37559, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37560, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37561, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37562, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 4.29/4.64 =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 4.29/4.64 , 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ] )
% 4.29/4.64 , clause( 37563, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 4.29/4.64 , clause( 37564, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 4.29/4.64 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 4.29/4.64 , clause( 37565, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 4.29/4.64 , clause( 37566, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ] )
% 4.29/4.64 , clause( 37567, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 4.29/4.64 , clause( 37568, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 4.29/4.64 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37569, [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ) ) ] )
% 4.29/4.64 , clause( 37570, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 4.29/4.64 'c_Int_Oiszero'( 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 4.29/4.64 , clause( 37571, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 4.29/4.64 , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37572, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37573, [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.64 , clause( 37574, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 4.29/4.64 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37575, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37576, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 4.29/4.64 , clause( 37577, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 4.29/4.64 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37578, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 4.29/4.64 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37579, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 4.29/4.64 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37580, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ] )
% 4.29/4.64 , clause( 37581, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 4.29/4.64 ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37582, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 4.29/4.64 ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 4.29/4.64 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37583, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37584, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37585, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37586, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37587, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37588, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37589, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 4.29/4.64 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37590, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37591, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37592, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 , X ) ] )
% 4.29/4.64 , clause( 37593, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37594, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37595, [ =( 'v_s____', 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.64 ) ), 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.64 , clause( 37596, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 4.29/4.64 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37597, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 4.29/4.64 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37598, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 4.29/4.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 4.29/4.64 , X ) ) ] )
% 4.29/4.64 , clause( 37599, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37600, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 4.29/4.64 , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37601, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37602, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37603, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 4.29/4.64 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 4.29/4.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37604, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 4.29/4.64 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37605, [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 4.29/4.64 X ) ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37606, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 4.29/4.64 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 4.29/4.64 ) ) ] )
% 4.29/4.64 , clause( 37607, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 4.29/4.64 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37608, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 4.29/4.64 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37609, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 4.29/4.64 ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 4.29/4.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37610, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 4.29/4.64 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37611, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 4.29/4.64 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37612, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37613, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37614, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 4.29/4.64 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37615, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37616, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37617, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37618, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37619, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 4.29/4.64 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37620, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 4.29/4.64 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37621, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 4.29/4.64 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37622, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 4.29/4.64 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37623, [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.64 , clause( 37624, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 4.29/4.64 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37625, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 4.29/4.64 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37626, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 4.29/4.64 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 4.29/4.64 , clause( 37627, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37628, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37629, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ), =( Y, Z ) ] )
% 4.29/4.64 , clause( 37630, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 4.29/4.64 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 4.29/4.64 ) ), =( Y, Z ) ] )
% 4.29/4.64 , clause( 37631, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 4.29/4.64 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 4.29/4.64 , clause( 37632, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37633, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37634, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37635, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 4.29/4.64 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 4.29/4.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37636, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 4.29/4.64 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 4.29/4.64 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37637, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 4.29/4.64 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 4.29/4.64 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 4.29/4.64 , clause( 37638, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 4.29/4.64 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 4.29/4.64 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 4.29/4.64 , clause( 37639, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37640, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37641, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37642, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 4.29/4.64 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 4.29/4.64 , clause( 37643, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37644, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 4.29/4.64 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37645, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37646, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 4.29/4.64 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37647, [ =( 'v_s____', 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.64 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.64 ) ), 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.64 , clause( 37648, [ ~( =( 'v_s____', 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 4.29/4.64 , clause( 37649, [ =( 'v_k____', 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.64 , clause( 37650, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.64 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 4.29/4.64 , clause( 37651, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 4.29/4.64 , clause( 37652, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37653, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37654, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37655, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37656, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37657, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37658, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37659, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37660, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37661, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37662, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37663, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37664, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37665, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37666, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37667, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37668, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37669, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37670, [ 'class_RealVector_Oreal__normed__algebra'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37671, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37672, [ 'class_RealVector_Oreal__normed__vector'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37673, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37674, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37675, [ 'class_Ring__and__Field_Oordered__field'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37676, [ 'class_Ring__and__Field_Odivision__ring'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37677, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37678, [ 'class_RealVector_Oreal__normed__field'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37679, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37680, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37681, [ 'class_Ring__and__Field_Oordered__idom'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37682, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37683, [ 'class_Ring__and__Field_Osemiring__1'(
% 4.29/4.64 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37684, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37685, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37686, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal'
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37687, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37688, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37689, [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37690, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37691, [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37692, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37693, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37694, [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37695, [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37696, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37697, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37698, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37699, [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37700, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37701, [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37702, [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37703, [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ] )
% 4.29/4.64 , clause( 37704, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37705, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37706, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37707, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37708, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37709, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37710, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37711, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37712, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37713, [ 'class_RealVector_Oreal__normed__algebra'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37714, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37715, [ 'class_RealVector_Oreal__normed__vector'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37716, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37717, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37718, [ 'class_Ring__and__Field_Odivision__ring'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37719, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37720, [ 'class_RealVector_Oreal__normed__field'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37721, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37722, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37723, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37724, [ 'class_Ring__and__Field_Osemiring__1'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37725, [ 'class_OrderedGroup_Oab__group__add'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37726, [ 'class_Ring__and__Field_Omult__zero'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37727, [ 'class_Ring__and__Field_Ocomm__ring'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37728, [ 'class_OrderedGroup_Omonoid__mult'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37729, [ 'class_Ring__and__Field_Osemiring'(
% 4.29/4.64 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37730, [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex'
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37731, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37732, [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex'
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37733, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37734, [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex'
% 4.29/4.64 ) ] )
% 4.29/4.64 , clause( 37735, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37736, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37737, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37738, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 4.29/4.64 ] )
% 4.29/4.64 , clause( 37739, [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37740, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37741, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37742, [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37743, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.64 , clause( 37744, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37745, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37746, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37747, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.64 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 4.29/4.64 , clause( 37748, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37749, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37750, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.64 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 4.29/4.64 , clause( 37751, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 4.29/4.64 )
% 4.29/4.64 , clause( 37752, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 4.29/4.64 , clause( 37753, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 4.29/4.64 , clause( 37754, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 4.29/4.64 , clause( 37755, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37756, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 4.29/4.64 , clause( 37757, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 4.29/4.64 X ) ) ] )
% 4.29/4.64 , clause( 37758, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 4.29/4.64 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.64 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 4.29/4.65 , clause( 37759, [ 'class_Ring__and__Field_Oordered__idom'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 4.29/4.65 X ) ) ] )
% 4.29/4.65 , clause( 37760, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 4.29/4.65 X ) ) ] )
% 4.29/4.65 , clause( 37761, [ 'class_Ring__and__Field_Osemiring__1'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.65 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 4.29/4.65 , clause( 37762, [ 'class_OrderedGroup_Oab__group__add'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 4.29/4.65 ) ) ] )
% 4.29/4.65 , clause( 37763, [ 'class_Ring__and__Field_Omult__zero'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.65 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 4.29/4.65 , clause( 37764, [ 'class_Ring__and__Field_Ocomm__ring'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 4.29/4.65 ) ) ] )
% 4.29/4.65 , clause( 37765, [ 'class_OrderedGroup_Omonoid__mult'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.65 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 4.29/4.65 , clause( 37766, [ 'class_Ring__and__Field_Osemiring'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.65 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 4.29/4.65 , clause( 37767, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ] )
% 4.29/4.65 , clause( 37768, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 4.29/4.65 , clause( 37769, [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 4.29/4.65 , clause( 37770, [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 4.29/4.65 , clause( 37771, [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X
% 4.29/4.65 ) ), ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 4.29/4.65 , clause( 37772, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X
% 4.29/4.65 ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 4.29/4.65 , clause( 37773, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X
% 4.29/4.65 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 4.29/4.65 , clause( 37774, [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X
% 4.29/4.65 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 4.29/4.65 , clause( 37775, [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) )
% 4.29/4.65 , ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 4.29/4.65 , clause( 37776, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 4.29/4.65 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 4.29/4.65 , clause( 37777, [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.65 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 4.29/4.65 , clause( 37778, [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 4.29/4.65 'class_HOL_Ozero'( X ) ) ] )
% 4.29/4.65 ] ).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 subsumption(
% 4.29/4.65 clause( 192, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 4.29/4.65 , clause( 37466, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 4.29/4.65 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.29/4.65 1 )] ) ).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 eqswap(
% 4.29/4.65 clause( 38598, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ) ] )
% 4.29/4.65 , clause( 37538, [ ~( =( 'v_s____', 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.65 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 4.29/4.65 , 0, substitution( 0, [] )).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 subsumption(
% 4.29/4.65 clause( 252, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ) ] )
% 4.29/4.65 , clause( 38598, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ) ] )
% 4.29/4.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 eqswap(
% 4.29/4.65 clause( 39175, [ =( 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.65 ) ), 'tc_Complex_Ocomplex' ), 'v_s____' ) ] )
% 4.29/4.65 , clause( 37595, [ =( 'v_s____', 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.65 ) ), 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.65 , 0, substitution( 0, [] )).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 subsumption(
% 4.29/4.65 clause( 301, [ =( 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.65 ) ), 'tc_Complex_Ocomplex' ), 'v_s____' ) ] )
% 4.29/4.65 , clause( 39175, [ =( 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.65 ) ), 'tc_Complex_Ocomplex' ), 'v_s____' ) ] )
% 4.29/4.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 eqswap(
% 4.29/4.65 clause( 39876, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 4.29/4.65 'v_k____' ) ] )
% 4.29/4.65 , clause( 37649, [ =( 'v_k____', 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.65 , 0, substitution( 0, [] )).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 subsumption(
% 4.29/4.65 clause( 343, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 4.29/4.65 'v_k____' ) ] )
% 4.29/4.65 , clause( 39876, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 4.29/4.65 'v_k____' ) ] )
% 4.29/4.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 subsumption(
% 4.29/4.65 clause( 437, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.65 , clause( 37743, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.65 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 eqswap(
% 4.29/4.65 clause( 40578, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X )
% 4.29/4.65 ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ), ~(
% 4.29/4.65 'class_HOL_Ozero'( X ) ) ] )
% 4.29/4.65 , clause( 192, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 4.29/4.65 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 4.29/4.65 , 1, substitution( 0, [ :=( X, X )] )).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 resolution(
% 4.29/4.65 clause( 40581, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ), 'c_Polynomial_OpCons'(
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.65 ) ), 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.65 , clause( 40578, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X
% 4.29/4.65 ) ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ), ~(
% 4.29/4.65 'class_HOL_Ozero'( X ) ) ] )
% 4.29/4.65 , 1, clause( 437, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 4.29/4.65 , 0, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' )] ), substitution( 1
% 4.29/4.65 , [] )).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 paramod(
% 4.29/4.65 clause( 40582, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ), 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.65 ) ), 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.65 , clause( 343, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 4.29/4.65 'v_k____' ) ] )
% 4.29/4.65 , 0, clause( 40581, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ), 'c_Polynomial_OpCons'(
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.65 ) ), 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.65 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 paramod(
% 4.29/4.65 clause( 40583, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ] )
% 4.29/4.65 , clause( 301, [ =( 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.65 ) ), 'tc_Complex_Ocomplex' ), 'v_s____' ) ] )
% 4.29/4.65 , 0, clause( 40582, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ), 'c_Polynomial_OpCons'( 'v_k____',
% 4.29/4.65 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 4.29/4.65 ) ), 'tc_Complex_Ocomplex' ) ) ] )
% 4.29/4.65 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 4.29/4.65
% 4.29/4.65
% 4.29/4.65 subsumption(
% 4.29/4.65 clause( 37040, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.65 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ] )
% 4.29/4.66 , clause( 40583, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.66 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ] )
% 4.29/4.66 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.29/4.66
% 4.29/4.66
% 4.29/4.66 resolution(
% 4.29/4.66 clause( 40587, [] )
% 4.29/4.66 , clause( 252, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.66 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ) ] )
% 4.29/4.66 , 0, clause( 37040, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 4.29/4.66 'tc_Complex_Ocomplex' ) ), 'v_s____' ) ] )
% 4.29/4.66 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.29/4.66
% 4.29/4.66
% 4.29/4.66 subsumption(
% 4.29/4.66 clause( 37238, [] )
% 4.29/4.66 , clause( 40587, [] )
% 4.29/4.66 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.29/4.66
% 4.29/4.66
% 4.29/4.66 end.
% 4.29/4.66
% 4.29/4.66 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.29/4.66
% 4.29/4.66 Memory use:
% 4.29/4.66
% 4.29/4.66 space for terms: 1083613
% 4.29/4.66 space for clauses: 1979114
% 4.29/4.66
% 4.29/4.66
% 4.29/4.66 clauses generated: 252779
% 4.29/4.66 clauses kept: 37239
% 4.29/4.66 clauses selected: 943
% 4.29/4.66 clauses deleted: 133
% 4.29/4.66 clauses inuse deleted: 8
% 4.29/4.66
% 4.29/4.66 subsentry: 245492
% 4.29/4.66 literals s-matched: 157518
% 4.29/4.66 literals matched: 149579
% 4.29/4.66 full subsumption: 81416
% 4.29/4.66
% 4.29/4.66 checksum: 40155939
% 4.29/4.66
% 4.29/4.66
% 4.29/4.66 Bliksem ended
%------------------------------------------------------------------------------